The generator matrix

 1  0  0  1  1  1  1  1  1 2X^2  1  1 2X^2+X  1  1  1  X 2X^2+X  1  1 X^2+X  1 2X 2X^2+2X  1  1  1  1  1  1 X^2  1 X^2+X  1  1  1 X^2+2X  1 2X^2  1  0  1  1  1 2X^2+2X  1  1  1  1  1  1 X^2  1 X^2  1  1  1  0  1  1  1 X^2+2X  1  1 X^2+2X  1 2X^2+X X^2+X  1  1  1  1  1 2X  1  1  X  1  1 2X^2  1  1  1 X^2+2X  1  0  1  1  X  1
 0  1  0 2X^2  1 2X^2+1 2X^2+2  X  2  1 2X^2+2X+1 2X^2+2X+2  1 X^2 2X^2+X+2 X^2+2X+1  1 2X X^2+2X+2 2X  1 X^2+X  1  1 2X^2+X+1 X+1 X+2 2X^2+X+1 2X^2+1 2X^2+X  1 X^2+2X  0 2X^2+X+1 X^2 X^2+X+1  1 2X+1 X^2+2X 2X^2+2X  1 X^2+X+2 2X+2 X^2+2X+2  1 2X^2 X^2+1 X^2+X+1  1 X^2+X 2X^2+X+2  1 2X  1  X 2X+1 X^2+2X+1  1 2X+2 2X^2 2X^2+2X  1 2X^2+2X+1  2 2X^2 2X^2+2X+2  1  1 X^2+X+2 X^2+X+1 2X^2+2 X^2+2 X^2+X  1 X^2+2X  X  1 2X^2+X+2 2X^2+2X  1  1  0 X+2  1 2X^2+1  1 X^2+1 2X^2+2X  1 2X^2+X
 0  0  1 2X^2+2X+1 2X+1 2X^2 X^2+X+2 X+2 X^2+2X 2X^2+1 2X^2+2X+2 2X^2+1 2X^2+2 X^2+X 2X^2+X+2 X^2 X^2+1  1 2X^2+2X 2X+2  0 X^2+1 X^2+1 2X^2+2 2X^2+2X+2 2X^2+X 2X^2+2X+1  1 2X+2 X+1 X^2+X+1 2X^2+2  1 2X^2+X+1 X^2+2X X^2 X^2+X X^2+1  1 2X 2X+2  2 2X^2+X+1  0 X^2+2X+2 2X^2+1 X^2+X X+2  1 X^2+2X X^2+X+1 X^2+2X+1 2X^2+X  X  2 X^2+2X+1  2 X+2 2X^2+2 2X+2 2X^2+2X+1 X^2+X+1 2X^2+X 2X^2  1 X^2+X+2 2X^2+X+2 2X+2  0 2X+1 2X^2+2X+1  1 X^2+X X^2+2X+1 X^2+1 2X+1 X^2+X 2X^2+2X+2 X^2+X+1 X^2+2 X^2+X+2 X^2+X+1 2X^2+2X 2X^2+X+2 X^2+2 2X X+1 X^2+2X+2 2X^2+2X+1 X^2+2X

generates a code of length 90 over Z3[X]/(X^3) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+330x^173+720x^174+1872x^175+1920x^176+1740x^177+2220x^178+1590x^179+1154x^180+1578x^181+1188x^182+784x^183+1164x^184+972x^185+646x^186+618x^187+330x^188+372x^189+324x^190+144x^191+6x^192+2x^195+6x^200+2x^201

The gray image is a linear code over GF(3) with n=810, k=9 and d=519.
This code was found by Heurico 1.16 in 1.36 seconds.